Details
| Original language | English |
|---|---|
| Pages (from-to) | 33-56 |
| Number of pages | 24 |
| Journal | Mathematische Zeitschrift |
| Volume | 292 |
| Issue number | 1-2 |
| Early online date | 31 Jul 2018 |
| Publication status | Published - 1 Jun 2019 |
Abstract
We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A ∞ .
Keywords
- Cyclically ordered set, Fountain, Infinite polygon, Leapfrog, Ptolemy condition, Ptolemy diagram, Triangulation
ASJC Scopus subject areas
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In: Mathematische Zeitschrift, Vol. 292, No. 1-2, 01.06.2019, p. 33-56.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞
AU - Gratz, S.
AU - Holm, T.
AU - Jørgensen, Peter
N1 - Funding Information: We thank Charles Paquette, Adam-Christiaan van Roosmalen, and Bin Zhu for illuminating comments on a preliminary version, and the referee for a careful reading and several useful suggestions which have improved the presentation. This project was supported by grant HO 1880/5-1 under the research priority programme SPP 1388 ?Darstellungstheorie? of the DFG, and by grant EP/P016014/1 ?Higher Dimensional Homological Algebra? from the EPSRC.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A ∞ .
AB - We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A ∞ .
KW - Cyclically ordered set
KW - Fountain
KW - Infinite polygon
KW - Leapfrog
KW - Ptolemy condition
KW - Ptolemy diagram
KW - Triangulation
UR - http://www.scopus.com/inward/record.url?scp=85051444086&partnerID=8YFLogxK
U2 - 10.1007/s00209-018-2117-y
DO - 10.1007/s00209-018-2117-y
M3 - Article
VL - 292
SP - 33
EP - 56
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 1-2
ER -